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Finding the Fourth Proportional to 2,259.29, 3,385.22 and 2,173.97

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Solution

The fourth proportional to 2,259.29, 3,385.22 and 2,173.97 is: 3,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.29 : 3,385.22 = 2,173.97 : x
  2. Step 2: Convert to fraction form
    2,259.29/3,385.22 = 2,173.97/x
  3. Step 3: Cross multiply
    2,259.29x = 3,385.22 × 2,173.97
  4. Step 4: Simplify right side
    2,259.29x = 7,359,338.93
  5. Step 5: Solve for x
    x = 7,359,338.93/2,259.29
  6. Step 6: Final answer
    x = 3,257.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.